MathJax 数学符号
本篇文章简要地列出了 MathJax 中的所有符号(可能不全),并按照形状进行分类。
区间形状
区间类型 | 代码 |
---|---|
|
\langle\rangle |
\lfloor\rfloor |
|
\lceil\rceil |
|
() |
|
[] |
|
\{\} |
|
\lmoustache\rmoustache |
|
\lvert\rvert |
|
\lVert\rVert |
|
\lgroup\rgroup |
希腊字母
大写 | 小写 | ||
---|---|---|---|
|
A |
\alpha |
|
B |
\beta |
||
\Gamma,\varGamma |
\gamma |
||
\Delta,\varDelta |
\delta |
||
E |
\epsilon,\varepsilon |
||
Z |
\zeta |
||
H |
\eta |
||
\Theta,\varTheta |
\theta,\vartheta |
||
I |
\iota |
||
K |
\kappa,\varkappa |
||
\Lambda,\varLambda |
\lambda |
||
M |
\mu |
||
N |
\nu |
||
\Xi,\varXi |
\xi |
||
O |
\omicron |
||
\Pi,\varPi |
\pi,\varpi |
||
P |
\rho,\varrho |
||
\Sigma,\varSigma |
\sigma,\varsigma |
||
T |
\tau |
||
\Upsilon,\varUpsilon |
\upsilon |
||
\Phi,\varPhi |
\phi,\varphi |
||
X |
\chi |
||
\Psi,\varPsi |
\psi |
||
\Omega,\varOmega |
\omega |
希伯来字母
\aleph |
|
\beth |
|
\daleth |
|
\gimel |
字体与注释
使用 \mathxx{}
时,公式中的所有字母将会转换成对应字体。而使用 \textxx{}
时,里面的特殊字符也不会被转义。
原始字体 |
|||
\mathrm{} |
|||
\mathbf{} |
|||
\mathrm{} |
|||
\mathcal{} |
|||
\mathit{} |
|||
\mathscr{} |
|||
\mathfrak{} |
|||
\mathsf{} |
|||
\mathtt{} |
|||
\text{} |
|||
\textrm{} |
|||
\textbf{} |
|||
\textit{} |
|||
\textsf{} |
|||
\texttt{} |
|||
\boldsymbol{\alpha}\mathbf{\alpha} |
颜色
命令 \color{}{}
中的第一个参数可以是颜色名称,也可以是 RGB 参数。第二个参数则是正式染色的文字。
展示 | 代码 |
---|---|
|
\color{black}{ABCDabcd1234} |
\color{grey}{ABCDabcd1234} |
|
\color{silver}{ABCDabcd1234} |
|
\color{white}{ABCDabcd1234} |
|
\color{maroon}{ABCDabcd1234} |
|
\color{red}{ABCDabcd1234} |
|
\color{yellow}{ABCDabcd1234} |
|
\color{lime}{ABCDabcd1234} |
|
\color{olive}{ABCDabcd1234} |
|
\color{green}{ABCDabcd1234} |
|
\color{teal}{ABCDabcd1234} |
|
\color{auqa}{ABCDabcd1234} |
|
\color{blue}{ABCDabcd1234} |
|
\color{navy}{ABCDabcd1234} |
|
\color{purple}{ABCDabcd1234} |
|
\color{fuchsia}{ABCDabcd1234} |
模算术 \mod
的用法和比较
展示 | 代码 |
---|---|
|
x^2\equiv 1(\mod 5) |
x^2\equiv 1(\bmod 5) |
|
x^2\equiv 1\pmod{5} |
分数 \frac
的用法和比较
行内 | 行间 | 代码 |
---|---|---|
|
\frac{a-1}{b-1} |
|
\cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1}}} |
||
\dfrac{a-1}{b-1} |
||
\tfrac{a-1}{b-1} |
||
{a-1 \over b-1} |
组合数 \binom
的用法和比较(附上 \brace
和 \brack
)
行内 | 行间 | 代码 |
---|---|---|
|
\binom{n+1}{m+1} |
|
{n+1\choose m+1} |
||
\dbinom{n+1}{m+1} |
||
\tbinom{n+1}{m+1} |
||
{n+1\brack m+1} |
||
{n+1\brace m+1} |
方框的用法和比较
展示 | 代码 |
---|---|
|
\boxed{x^3+y^3=z^3} |
\boxed{abcd 1234} |
|
\fbox{abcd 1234} |
占位符 \phantom
的用法和比较
展示 | 代码 |
---|---|
|
\begin{array}{l} \text{Side Angle Side} \\ \text{S} \hphantom {\text{ ide}} \text{A} \hphantom{\text{ngle }} \text{S}\end{array} |
\begin{matrix}1&-1\\ \phantom{}\\1&\phantom{-}1\end{matrix} |
|
\dbinom{\dfrac ab}c \dbinom{\vphantom{\dfrac ab}}c |
公式大小
展示 | 代码 |
---|---|
|
{\tiny AB} |
{\Tiny AB} |
|
AB |
|
\large AB |
|
\Large AB |
|
\LARGE AB |
|
{\huge AB} |
|
{\Huge AB} |
其它基本符号
\#,\$,\%,\&,\_,\|
公式上下层符号
展示 | 代码 |
---|---|
|
\acute{123} |
\bar{123} |
|
\breve{123} |
|
\check{123} |
|
\dot{123} |
|
\ddot{123} |
|
\dddot{123} |
|
\ddddot{123} |
|
\grave{123} |
|
\hat{123} |
|
\mathring{123} |
|
\tilde{123} |
|
\vec{123} |
|
\overleftarrow{123} |
|
\overrightarrow{123} |
|
\overleftrightarrow{123} |
|
\overline{123} |
|
\widehat{123} |
|
\widetilde{123} |
|
\underline{123} |
|
\underset{123}{abc} |
|
\overset{123}{abc} |
|
\underbrace{123}_{abc} |
|
\xleftarrow[123]{abc} |
|
\xrightarrow[123]{abc} |
箭头
箭头 | 代码 |
---|---|
|
\uparrow,\downarrow,\leftarrow,\rightarrow |
\Uparrow,\Downarrow,\Leftarrow,\Rightarrow |
|
\upuparrows,\downdownarrows,\leftleftarrows,\rightrightarrows |
|
\nwarrow,\nearrow,\swarrow,\searrow |
|
\upharpoonleft,\upharpoonright,\downharpoonleft,\downharpoonright |
|
\leftharpoondown,\leftharpoonup,\rightharpoondown,\rightharpoonup |
|
\longleftarrow,\longrightarrow,\longleftrightarrow |
|
\Longleftarrow,\Longrightarrow,\Longleftrightarrow |
|
\nleftarrow,\nrightarrow,\nleftrightarrow |
|
\nLeftarrow,\nRightarrow,\nLeftrightarrow |
|
\leftrightarrow,\updownarrow |
|
\Leftrightarrow,\Updownarrow |
|
\twoheadleftarrow,\twoheadrightarrow |
|
\hookleftarrow,\hookrightarrow |
|
\Lleftarrow,\Rrightarrow |
|
\Lsh,\Rsh |
|
\dashleftarrow,\dashrightarrow |
|
\looparrowleft,\looparrowright |
|
\leftarrowtail,\rightarrowtail |
|
\circlearrowleft,\circlearrowright |
|
\curvearrowleft,\curvearrowright |
|
\leftrightarrows,\rightleftarrows |
|
\rightleftharpoons,\leftrightharpoons |
|
\longmapsto |
|
\mapsto |
|
\leftrightsquigarrow,\rightsquigarrow |
点和省略号
展示 | 代码 |
---|---|
|
a\cdot b |
a\cdotp b |
|
a\centerdot b |
|
\cdots |
|
\ddots |
|
\dots |
|
\ldotp |
|
\ldots |
|
\vdots |
函数
展示 | 代码 | ||||
---|---|---|---|---|---|
|
\sin |
\cos |
\tan |
||
\cot |
\csc |
\sec |
|||
\arccos |
\arcsin |
\arctan |
|||
\sinh |
\cosh |
\tanh |
|||
\coth |
\exp |
\log |
|||
\lg |
\ln |
\max |
|||
\min |
\gcd |
微积分与极限
展示 | 代码 | ||||
---|---|---|---|---|---|
|
\nabla |
\partial |
\prime,' |
||
\inf |
\int,\iint,\iiint,\iiiint |
\oint |
|||
\lim |
\liminf |
\limsup |
|||
\injlim |
\projlim |
\varinjlim |
|||
\varlimsup |
\varliminf |
\varprojlim |
|||
\infty |
\idotsint |
类字母符号
展示 | 代码 |
---|---|
|
\Bbbk,\complement,\backepsilon,\Game,\digamma,\hbar,\hslash |
\Im,\imath,\jmath,\ell,\mho,\Re,\S,\top,\wp |
集合
展示 | 代码 |
---|---|
|
\in,\notin,\ni,\owns |
\subset,\Subset,\subseteq,\subsetneq,\nsubseteq,\nsubseteqq |
|
\supset,\Supset,\supseteq,\supsetneq,\nsupseteq,\nsupseteqq |
|
\subseteqq,\subsetneqq,\varsubsetneq,\varsubsetneqq |
|
\supseteqq,\supsetneqq,\varsupsetneq,\varsupsetneqq |
|
\emptyset,\varnothing |
关系运算符
展示 | 代码 |
---|---|
|
>,\ge,\geqq,\geqslant,\gg,\ggg,\gt,\gtrdot,\eqslantgtr |
<,\le,\leqq,\leqslant,\ll,\lll,\lt,\lessdot,\eqslantless |
|
\gtrapprox,\gnapprox,\gneq,\gneqq,\gvertneqq,\gtrsim,\gnsim |
|
\lessapprox,\lnapprox,\lneq,\lneqq,\lvertneqq,\lesssim,\lnsim |
|
\gtreqless,\gtreqqless,\gtrless,\lesseqgtr,\lesseqqgtr,\lessgtr |
|
\ngeq,\ngeqq,\ngeqslant,\ngtr,\nleq,\nleqq,\nleqslant,\nless |
|
\sqsubset,\sqsupset,\sqsubseteq,\sqsupseteq |
|
\prec,\preccurlyeq,\curlyeqprec,\preceq,\precsim,\precapprox |
|
\precnapprox,\precneqq,\precnsim,\nprec,\npreceq |
|
\succ,\curlyeqsucc,\succcurlyeq,\succeq,\succsim,\succapprox |
|
\succnapprox,\succneqq,\succnsim,\nsucc,\nsucceq |
|
\sim,\nsim,\thicksim,\backsim,\simeq,\backsimeq,\eqsim |
|
\approx,\thickapprox,\approxeq |
|
\vdash,\dashv,\Vdash,\vDash,\Vvdash,\models |
|
\nvdash,\nVdash,\nVDash,\nvDash |
|
\ntriangleleft,\ntriangleright |
|
\trianglelefteq,\trianglerighteq,\ntrianglelefteq,\ntrianglerighteq |
|
=,\eqcirc,\equiv,\ne,\cong,\ncong |
|
\Doteq,\doteq,\triangleq |
|
\Bumpeq,\bumpeq,\circeq |
|
\propto,\varpropto |
算术与逻辑运算符
展示 | 代码 |
---|---|
|
\circ,\bullet,\bigcirc |
\cap,\Cap,\bigcap,\doublecap,\sqcap |
|
\cup,\Cup,\bigcup,\doublecup,\sqcup,\bigsqcup |
|
+,-,\pm,\mp,\dotplus,\uplus,\biguplus,\sum |
|
\ast,\times,\div,\divideontimes,\prod |
|
\boxplus,\boxminus,\boxtimes |
|
\odot,\bigodot,\ominus,\oplus,\bigoplus,\oslash,\otimes |
|
\sqrt{16}=\sqrt[3]{64} |
|
\lor,\vee,\bigvee,\veebar,\curlyvee |
|
\land,\wedge,\barwedge,\bigwedge,\doublebarwedge,\curlywedge |
|
\lnot,\neg |
|
\because,\therefore |
|
\forall,\exists,\nexists |
几何符号
部分几何符号可能归入了特殊符号中。
展示 | 代码 |
---|---|
|
\angle,\measuredangle,\sphericalangle |
\perp,\bot |
|
\mid,\nmid,\parallel,\nparallel |
|
\shortmid,\shortparallel,\nshortmid,\nshortparallel |
特殊符号
展示 | 代码 |
---|---|
|
\bigtriangleup,\triangle,\vartriangle |
\bigtriangledown,\triangledown |
|
\triangleleft,\vartriangleleft,\lhd |
|
\triangleright,\vartriangleright,\rhd |
|
\bigstar,\blacklozenge,\blacksquare |
|
\blacktriangle,\blacktriangledown,\blacktriangleleft,\blacktriangleright |
|
\Box,\square,\boxdot |
|
\circledast,\circledcirc,\circleddash,\circledR,\circledS |
|
\dagger,\ddagger |
|
\diagdown,\diagup |
|
\diamond,\Diamond,\lozenge |
|
\heartsuit,\diamondsuit,\clubsuit,\spadesuit |
|
\flat,\natural,\sharp |
|
\checkmark,\surd |
|
\smile,\frown,\asymp |
|
\ulcorner\urcorner |
|
\llcorner\lrcorner |
|
\LaTeX,\TeX |
|
\Finv |
|
\maltese |
|
\backprime |
|
\between |
|
\multimap |
|
\pitchfork |
|
\star |
|
\yen |
|
\intercal |
|
\wr |
|
\backslash |
其它未分类符号
展示 | 代码 |
---|---|
|
\leftthreetimes,\rightthreetimes |
\coprod,\amalg |
|
\sup |
|
\arg |
|
\deg |
|
\dim |
|
\hom |
|
\ker |
|
\Pr |
|
\det |
|
\ltimes\rtimes,\bowtie,\Join |
用 \DeclareMathOperator
定义运算符
1 | $\DeclareMathOperator{\lcm}{lcm} \lcm(4,6)=2$ |
\buildrel{} \over{}
用于自创运算符,这个运算符拥有两行。
1 | \buildrel{\rm def} \over{:=} |
\substack
用于编写大型运算符的条件时分行。
1 | \sum_{\substack{1\lt i\lt 3 \\1\le j\lt 5}}a_{ij} |
\begin ... \end
aligned
1 | \begin{aligned} |
align
1 | \begin{align} |
array
l,c,r 分别表示当前一列是居左,居中,还是居右。如果有 |,那么就代表隔开。
1 | \begin{array}{lc|r} |
cases
1 | |x| = |
Bmatrix
1 | \begin{Bmatrix} a & b\\ c & d\end{Bmatrix} |
bmatrix
1 | \begin{bmatrix} a & b\\ c & d\end{bmatrix} |
matrix
1 | \begin{matrix} a & b\\ c & d\end{matrix} |
pmatrix
1 | \begin{pmatrix} a & b\\ c & d\end{pmatrix} |
vmatrix
1 | \begin{vmatrix} a & b\\ c & d\end{vmatrix} |
Vmatrix
1 | \begin{Vmatrix} a & b\\ c & d\end{Vmatrix} |
eqnarray
1 | \begin{eqnarray} |
其它
\tag
注意 \tag
只有某些情况下才可以使用,如 \aligned
不可以,\align
可以。
1 | \begin{align} |
\hline, \hdashline
用于在矩阵中画横线,\hline
前者为实线,\hdashline
为虚线。
1 | \hline |
\left
,
\right
和 \big
根据括号内的公式高度,智能调整两侧括号的高度,一个 \left
必须和一个 \right
匹配。如果只想要其中一个,那么用 \right.
来代替。
展示 | 代码 |
---|---|
|
\left(1+2\right)=\left(\dfrac{1}{2}\right) |
\left\lgroup 1+2\right\rgroup=\left\lgroup\dfrac{1}{2}\right\rgroup |
|
\left[1+2\right]=\left[\dfrac{1}{2}\right] |
|
\left\{1+2\right\}=\left\{\dfrac{1}{2}\right\} |
|
\left\uparrow 1+2\right\downarrow=\left\downarrow\dfrac{1}{2}\right\uparrow |
|
\left\Uparrow 1+2\right\Downarrow=\left\Downarrow\dfrac{1}{2}\right\Uparrow |
|
\left\updownarrow 1+2\right\Updownarrow=\left\Updownarrow\dfrac{1}{2}\right\updownarrow |
|
\left\vert 1+2\right\vert=\left\vert\dfrac{1}{2}\right\vert |
|
\left\Vert 1+2\right\Vert=\left\Vert\dfrac{1}{2}\right\Vert |
|
\left\bracevert 1+2\right\bracevert=\left\bracevert\dfrac{1}{2}\right\bracevert |
|
\left\lceil 1+2\right\rceil=\left\lceil\dfrac{1}{2}\right\rceil |
|
\left\lfloor 1+2\right\rfloor=\left\lfloor\dfrac{1}{2}\right\rfloor |
|
\left/ 1+2\right\backslash=\left/\dfrac{1}{2}\right\backslash |
|
\left\lmoustache 1+2\right\rmoustache=\left\lmoustache\dfrac{1}{2}\right\rmoustache |
也可以自行直接指定大小:
1 | \Bigg[\bigg[\Big[\big[ [ |
\not
在任何一个关系运算符前面添加一个 \not
,即可得到划斜线的运算符,如:
展示 | 代码 |
---|---|
|
\not\equiv |
\not= |
|
\not\in |